Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 102 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13130493 | C2 | semidirect |
| 4. #13130037 | C2 | semidirect |
| 5. #13129731 | C2 | semidirect |
| 6. #13129724 | C2 | semidirect |
| 9. #11719158 | C4 | semidirect |
| 10. Q8×#1057 | C4 | semidirect |
| 18. #11719076 | C4 | semidirect |
| 19. #11719073 | C4 | semidirect |
| 25. #11718299 | C4 | semidirect |
| 28. #11718242 | C4 | semidirect |
| 310. C13 | #8247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131652 | 2 |
| #13130493 | 2 |
| #13130289 | 2 |
| #13130037 | 2 |
| #13129731 | 2 |
| #13129724 | 2 |
| #13113321 | 2 |
| #8247 | 13 |